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Concept in machine learning
automatic basis function construction, also known as basis discovery, is a technique that finds a set of general-purpose (task-independent) basis functions
Automatic basis function construction
Automatic_basis_function_construction
methods (mathematical analysis, differential equations) Welch's method Automatic basis function construction List of graphical methods Scientific method
List of mathematics-based methods
List_of_mathematics-based_methods
Set of functions used to represent the electronic wave function
computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartree–Fock
Basis_set_(chemistry)
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Use of various control systems for operating equipment
mathematical basis of control theory began in the 18th century and advanced rapidly in the 20th. The term automation, inspired by the earlier word automatic (coming
Automation
Mathematical function with no sudden changes
topological spaces. The latter are the most general continuous functions, and their definition is the basis of topology. A stronger form of continuity is uniform
Continuous_function
Collection of open sets used to define a topology
In mathematics, a base (or basis; pl.: bases) for the topology τ {\displaystyle \tau } of a topological space ( X , τ ) {\displaystyle (X,\tau )} is a
Base_(topology)
Measurement tool
different combinations of temperature and apparent RDS, the basis of so-called "Automatic Temperature Compensation" (ATC). The other is to measure the
Refractometer
United States automatic rifle family
The Browning automatic rifle (BAR) is a family of American automatic rifle used by the United States and numerous other countries during the 20th century
M1918 Browning automatic rifle
M1918_Browning_automatic_rifle
Technology for determining a vehicle's geographic location
wider range of data as part of telematics. An Automatic vehicle location system (AVLS) typically functions in three stages: position determination, data
Automatic_vehicle_location
Austrian firearms designer (1848 - 1904)
his experimental designs for semi-automatic rifles, developed at a time when ammunition was not suitable to function properly in such a weapon[citation
Ferdinand_Mannlicher
symmetric functions, and the distinct monomial symmetric functions therefore form a basis of ΛR as an R-module. The elementary symmetric functions ek, for
Ring_of_symmetric_functions
Algebra of formal sums
pointwise addition of functions. Every set B {\displaystyle B} has a free abelian group with B {\displaystyle B} as its basis. This group is unique in
Free_abelian_group
Member of the US Naval Construction Forces
plus four Construction Companies: A, B, C, & D. CBs are organized to function as independent self sufficient units. Regiment: Naval Construction Regiments
Seabee
Ability to attribute mental states to oneself and others
neural basis for theory of mind impairment in subjects with Asperger syndrome (an outdated condition associated with Autism) and high-functioning autism
Theory_of_mind
Method of analysis applied to problems wave propagation
making Huygens's construction quantitatively correct. In 2021, Forrest L. Anderson showed that treating the wavelets as Dirac delta functions, summing and
Huygens–Fresnel_principle
Type of knife
A switchblade (also known as switch knife, automatic knife, pushbutton knife, ejector knife, flick knife, gravity knife, flick blade, or spring knife)
Switchblade
Type of cost analysis software
required for a construction project by the construction documents. Together with prices for these components, the measured quantities are the basis for calculation
Construction estimating software
Construction_estimating_software
Historic US military computer and radar network
creation of automatic equipment for radar-detection which would relay information to an air defense control system, a system which would function without
Semi-Automatic Ground Environment
Semi-Automatic_Ground_Environment
Automatic vehicle transmission, 1957–1961
most automatic transmissions, the drive turbine only functions as an input to the transmission, where the power is redirected to gears in its automatic gearbox
Turboglide
1940s electromechanical computer
The Automatic Relay Calculator (ARC) was an early electromechanical computer developed at Birkbeck College, University of London in the mid-1940s. Designed
Automatic_Relay_Calculator
Mathematical modelling alogorithm
implicitly acknowledges different types of uncertainty during the automatic construction of the optimal model. During development was established an organic
Group_method_of_data_handling
proto-value functions (PVFs) are automatically learned basis functions that are useful in approximating task-specific value functions, providing a compact
Proto-value_function
Software that translates code from one programming language to another
etc. Accurate analysis is the basis for any compiler optimization. The control-flow graph of every compiled function and the call graph of the program
Compiler
Polynomials used for interpolation
of three parts, a function ℓ ( x ) = ∏ m ( x − x m ) {\displaystyle \textstyle \ell (x)=\prod _{m}(x-x_{m})} common to every basis polynomial, a node-specific
Lagrange_polynomial
Overview of and topical guide to machine learning
Natural language processing Named Entity Recognition Automatic summarization Automatic taxonomy construction Dialog system Grammar checker Language recognition
Outline_of_machine_learning
Uncontrolled fire in forests or open spaces
from the original (PDF) on 26 February 2009. Retrieved 9 January 2009. "Automatic remote surveillance system for the prevention of forest fires" (PDF).
Wildfire
Algebraic structure in linear algebra
polynomial function in λ, called the characteristic polynomial of f. If the field F is large enough to contain a zero of this polynomial (which automatically happens
Vector_space
Computation model defining an abstract machine
compute the same functions. But what Church had done was something rather different, and in a certain sense weaker. ... the Turing construction was more direct
Turing_machine
Design pattern in functional programming to build generic types
block; the compiler then automatically translates these expressions into underlying functional code. Translating the add function from the Maybe into Haskell
Monad (functional programming)
Monad_(functional_programming)
Vertical transport machine
were significantly enhanced by Frank Sprague, who added floor control, automatic operation, acceleration control, and further safety devices. His elevator
Elevator
Property which distinguishes literature from ordinary text
defined solely on the basis of linguistic properties found within a text but that the reader is also a crucial factor in the construction of meaning. They
Literariness
limited. In the second category are functions which are not based on mathematical problems, but on an ad-hoc constructions, in which the bits of the message
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
General-purpose programming language
static objects is useful for maintaining state information across function calls, automatic allocation is easy to use but stack space is typically much more
C_(programming_language)
Subject area in mathematics
as well as more modern concerns like the construction of higher regulators and special values of L-functions. The lower K-groups were discovered first
Algebraic_K-theory
Government system where political power lies with the people
identified by commentators as foundational characteristics for a well-functioning democracy. In some countries, notably in the United Kingdom (which originated
Democracy
Faculty of mind to store and retrieve data
implicit functions by the working memory processor. The working memory also retrieves information from previously stored material. Finally, the function of
Memory
Concepts from linear algebra
of square integrable functions. Since this space is a Hilbert space with a well-defined scalar product, one can introduce a basis set in which ψE and H
Eigenvalues_and_eigenvectors
Field of sexual orientation research
of the hypothalamus, which stores gender identity, are undeveloped and function as female. The action of the SRY gene in the Y chromosome in the fetus
Biology and sexual orientation
Biology_and_sexual_orientation
Concept in statistics
density function f {\displaystyle f} or its second derivative f ″ {\displaystyle f''} . To overcome that difficulty, a variety of automatic, data-based
Kernel_density_estimation
Neural network development environment
(programming) Jordan/Elman Principal component analysis (PCA) Radial basis function network (RBF) General regression neural network (GRNN) Probabilistic
NeuroSolutions
Lamp mounted in the front of a vehicle
Cornering light function Adaptive Highbeam Assist is Mercedes-Benz's marketing name for a headlight control strategy that continuously automatically tailors the
Headlamp
the affixing of CE marking to construction products. Introduce the need to issue a declaration of performance as a basis for CE marking. Define clear rules
Regulation_(EU)_No._305/2011
Programmable machine that processes data
A computer is a machine that can be programmed to automatically carry out sequences of arithmetic or logical operations (computation). Modern digital
Computer
Topics referred to by the same term
Mel-frequency cepstrum, a representation of sounds used in applications such as automatic speech recognition Memory flow controller, a part of a computer architecture
MFC
Computer compiler optimization technique
compiler optimization, register allocation is the process of assigning local automatic variables and expression results to a limited number of processor registers
Register_allocation
Grouping by physical or social qualities
one-drop rule, as it was in the United States. A Brazilian child was never automatically identified with the racial type of one or both parents, nor were there
Race_(human_categorization)
Free online crowdsourced encyclopedia
to support various operations. One of the most important areas is the automatic detection of vandalism and data quality assessment in Wikipedia. Several
Wikipedia
Second generation of Mercedes-Benz E-Class
steering-wheel controls for audio, navigation and telephone functions. The five-speed automatic transmission received a manual +/- selector gate, marketed
Mercedes-Benz_E-Class_(W210)
Disruption of cognitive control processes
executive dysfunction, or executive function deficit, is a disruption to the efficacy of the executive functions, which is a group of cognitive processes
Executive_dysfunction
Mathematical operation on vector spaces
V)=\dim(U)\dim(V),} which automatically gives the important fact that { u i ⊗ v j } {\displaystyle \{u_{i}\otimes v_{j}\}} forms a basis of U ⊗ V {\displaystyle
Tensor_product
Property of artificial neural networks
J.; Sandberg, I. W. (1991). "Universal Approximation Using Radial-Basis-Function Networks". Neural Computation. 3 (2): 246–257. doi:10.1162/neco.1991
Universal approximation theorem
Universal_approximation_theorem
Collection of random variables
the construction of such a stochastic process, it is assumed that the sample functions of the stochastic process belong to some suitable function space
Stochastic_process
American auto-loading carbine
(formally the United States Carbine, Caliber .30, M1) is a lightweight semi-automatic carbine chambered in the .30 carbine (7.62×33mm) cartridge that was issued
M1_carbine
Computer programming convention
the statements in the body of the function are indented an additional level. A multi-statement block inside a function, however, has its opening brace on
Indentation_style
Coachbuilt car with wicker seats
was especially ordered in 1968 by Aristoteles Onassis (because it had automatic Variomatic transmission), who used it in Monte Carlo to court his future
Michelotti_Shellette
Type of machine learning model
summarize, translate, and analyze text in many contexts. They are the basis for many modern chatbots, such as ChatGPT, Claude, Gemini, Grok, and DeepSeek
Large_language_model
Attitudes and behaviors towards sex in ancient Rome
anticipation of pleasure. The body's response to physical attractiveness is automatic, and neither the character of the person desired nor one's own choice
Sexuality_in_ancient_Rome
Method in which data is created algorithmically as opposed to manually
Scenery generator – Type of software Simplex noise – Construction for n-dimensional noise functions Synthetic media – Artificial production of media by
Procedural_generation
Manifold upon which it is possible to perform calculus
not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of the construction (via the quotients of local
Differentiable_manifold
Branch of mathematics
which include, in particular, quantum mechanics (wave functions) and Fourier analysis (orthogonal basis). Nearly all scientific computations involve linear
Linear_algebra
Sociological theory of society
constructs that function like organisms, with their various (or social institutions) working together in an unconscious, quasi-automatic fashion toward
Structural_functionalism
methods are used to introduce randomness. aggregate function In database management, a function in which the values of multiple rows are grouped together
Glossary_of_computer_science
Office in Makati, Philippines
locations controlled at the central command station on a 24-hour basis, fire alarm and automatic fire sprinkler systems, dual water supply with water treatment
PBCom_Tower
Special type of air gun used in airsoft
readies the gun. Because of this, spring guns are incapable of automatic or semi-automatic firing by design.[AI-retrieved source] Spring-powered airsoft
Airsoft_gun
About mathematical functions
output as it depends on the input or the change in the input. Such functions are the basis of calculus. In the first volume of his fundamental text Introductio
History of the function concept
History_of_the_function_concept
Aftermarket electronic fuel injection controller
boost control, water injection, fan control, etc.), self-tuning functions (Automatic Mixture Control - AMC), and fuel control to 1 μs (100 times more
MegaSquirt
Measurement of the direction from which a received signal was transmitted
frequencies can be used, allowing the use of much smaller antennas. An automatic direction finder, which could be tuned to radio beacons called non-directional
Direction_finding
Function from sets to numbers
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes
Set_function
Comprehensive outline of core abstractions in the field of computer science
predictable. By treating computation as the evaluation of mathematical functions, functional programming moves away from the mutable state and side effects
List of abstractions (computer science)
List_of_abstractions_(computer_science)
Physics of heat, work, and temperature
for the construction of practical thermometers. The zeroth law was not initially recognized as a separate law of thermodynamics, as its basis in thermodynamical
Thermodynamics
commercial automatic cellular system. However, according to the Swedish Post and Telecom Authority, the company launched an unlicensed automatic system.
Timeline of historic inventions
Timeline_of_historic_inventions
Type of assault rifle
which had just been selected by the U.S. military as the M16. A semi-automatic version known as the AR-180 was later produced for the civilian market
ArmaLite_AR-18
Secure communication method
QKD (quantum key distribution) systems also have the advantage of being automatic, with greater reliability and lower operating costs than a secure human
Quantum_key_distribution
Mode of transport
of railroads provided the basis for a dramatic expansion of the private (non-governmental) financial system. Construction of railroads was far more expensive
Rail_transport
Reliable digital data delivery methods on unreliable channels
known as automatic repeat request (ARQ), and is most notably used on the Internet. An alternate approach for error control is hybrid automatic repeat request
Error detection and correction
Error_detection_and_correction
Vector space with generalized dot product
distance function Orthogonal basis – Basis consisting of mutually orthogonal vectors Orthogonal complement – Concept in linear algebra Orthonormal basis – Specific
Inner_product_space
phrases are themselves translations of Greek phrases. This list is an automatically updated combination of the twenty lists of Latin phrases starting by
List_of_Latin_phrases_(full)
Type of logical system
quantifier constructions in natural language, such as "every person who lives in Perth lives in Australia". Hence, first-order logic is used as a basis for knowledge
First-order_logic
American subsidiary of automaker Stellantis
Chrysler Corporation began dividing its vehicle offerings by price class and function. The Plymouth brand was introduced at the low-priced end of the market
Chrysler
Greek physicist and professor
installations of the Lóntschwerk II in Switzerland. He was part of the construction of an electric dam that produced 77000 kW with a height of 370 meters
Paul_Santorini
Branch of engineering and mathematics
generalization of Lyapunov function to input/state/output systems. The construction of the storage function, as the analogue of a Lyapunov function is called, led
Control_theory
American lawyer and statesman (born 1930)
officials. The Troika, under Baker's guidance, significantly restricted automatic access to Reagan to only family, Bush, and certain White House support
James_Baker
Hidden Markov model algorithm
called Hybrid Forward Algorithm (HFA) can be used for the construction of radial basis function (RBF) neural networks with tunable nodes. The RBF neural
Forward_algorithm
Russian weapons and motor vehicle manufacturer
RPK light machine gun series, the Dragunov SVD semi-automatic sniper rifle, the SKS semi-automatic carbine, the Makarov PM pistol, the Saiga-12 shotgun
Kalashnikov_Concern
1611 English translation of the Bible
original text of the biblical authors, without giving it, or any family, automatic preference. A primary concern of the translators was to produce an appropriate
King_James_Version
Process of reducing the number of random variables under consideration
missing data in digital image processing. With a stable component basis during construction, and a linear modeling process, sequential NMF is able to preserve
Dimensionality_reduction
committees to function in smaller communities in the Galilee and the Negev, while explicitly forbidding committees to bar applicants based on the basis of race
Arab_citizens_of_Israel
Methods that imitate, replicate or use natural processes
abstracted from natural phenomena as diverse as self-replication, the functioning of the brain, Darwinian evolution, group behavior, the immune system
Natural_computing
Type of firearm action
form of blowback (example: primer actuation) to perform the unlocking function. The blowback principle may be considered a simplified form of gas operation
Blowback_(firearms)
CubeSat built and operated by Aalborg University, Denmark
to receive Automatic Identification System (AIS) signals from a 1U CubeSat. The spacecraft was designed to operate on a non-centralized basis so it would
AAUSat-3
Practice and study of secure communication techniques
plaintext letter at the limit). He also invented what was probably the first automatic cipher device, a wheel that implemented a partial realization of his invention
Cryptography
First modern automobile
fixed to the counter-shaft. Its effect was similar to that of putting an automatic car into Drive. The lever 9 could also be moved back, which applied a
Benz_Patent-Motorwagen
Full-size automobile produced by Mercury (1975-2011)
Mercury Colony Park station wagon up to 1991. The fourth generation was the basis of the 2003 and 2004 Mercury Marauder. From 1979 until 2011, the Grand Marquis
Mercury_Grand_Marquis
Hypothesis in psychology
commands from external "gods". According to the theory, the human mind once functioned with a division in which one part generated verbal instructions while
Bicameral_mentality
Function describing an electron in an atom
mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function describes an electron's charge
Atomic_orbital
Structure for controlled release of flows from a dam or levee
remove air in the bend for them to function, and most siphon spillways are designed to use water to automatically prime the siphon. One such design is
Spillway
American economist and statistician (1912–2006)
that is the primary reason why I have long favored for the USA a quasi-automatic monetary policy under which the quantity of money would grow at a steady
Milton_Friedman
Spiritual practice
spirit to control their body and speak through it directly or by using automatic writing or drawing. Spiritualists classify types of mediumship into two
Mediumship
Mathematical space with a notion of distance
distance between its points. The distance is measured by a function called a metric or distance function. Metric spaces are a general setting for studying many
Metric_space
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AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
AUTOMATIC BASIS-FUNCTION-CONSTRUCTION
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